I've been spinning a fair amount of high-twist laceweight singles lately, to have fun knitting lace with. They'll lay flat since I plan to knit garter-stitch lace with them; the alternating rows of knit and purl on the face of the knit fabric stop them from skewing. So, garter stitch is a great method to use with singles for knitting. One of my local friends is an avid spinner-crocheter, and she spins singles to crochet with quite often. Her crochet vest is lovely, with granny square borders and single crochet body. I don't see any misbehavior in the fabric from her use of singles.
If you'd like stronger wear from the singles, you can knit a tighter fabric than the yarn thickness dictates -- go down a needle size or two so that the knit fabric is very dense. This helps add strength to the surface of the knit fabric, and can also make a super-cushy knit hat 